Question

The angles of elevation and depression of the top and bottom of a lighthouse from the top of a building 60 m high are 30 degree and 45 degree respectively, find

(i) distance between lighthouse and building

(ii) height of the lighthouse

PLZ I WANT ONLY CORRECT ANSWER ......PLZ IT IS URGENT .......
I WILL MARK THE CORRECT ANSWER AS THE BRAINLIEST

Answer 1

Answer:

● Distance between building and watchtower = 20√3 m

● Difference between height of building and the tower is 20 m.  

Solution:

Height of building = 60 m

Angle of elevation = 30°

Depression of height = 60°

Height of building is denoted as AB & height of watchtower is denoted as DE.  

$\tan60 = \frac{ab}{be}$

$= \frac{60}{be}$

【tan 60° = √3】

$= \frac{60}{ \sqrt{3} }$

$= 20 \sqrt{3}$

✴️ Distance between building and watchtower = $20 \sqrt{3}$

Now,

The difference in height of the buildings:

$\tan30 = \frac{h}{20 \sqrt{3} } \frac{1}{ \sqrt{3} }$

【tan 30° = 1/√3】

 $= \frac{h}{20 \sqrt{3} }$

$h = 20$

Difference between height of building & the tower = 20m

【figure of this question is in the attachment above】

Answer 2

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